102200211120 has 640 divisors, whose sum is σ = 401734287360. Its totient is φ = 20954419200.

The previous prime is 102200211109. The next prime is 102200211121. The reversal of 102200211120 is 21112002201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102200211096 and 102200211105.

It is not an unprimeable number, because it can be changed into a prime (102200211121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78554470 + ... + 78555770.

It is an arithmetic number, because the mean of its divisors is an integer number (627709824).

Almost surely, 2^102200211120 is an apocalyptic number.

102200211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200867143680).

102200211120 is an abundant number, since it is smaller than the sum of its proper divisors (299534076240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102200211120 is a wasteful number, since it uses less digits than its factorization.

102200211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102200211120 its reverse (21112002201), we get a palindrome (123312213321).

The spelling of 102200211120 in words is "one hundred two billion, two hundred million, two hundred eleven thousand, one hundred twenty".